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Zh. Vychisl. Mat. Mat. Fiz., 1966, Volume 6, Number 5, Pages 787–823 (Mi zvmmf7415)  

This article is cited in 18 scientific papers (total in 18 papers)

Constrained minimization methods

E. S. Levitin, B. T. Polyak


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English version:
USSR Computational Mathematics and Mathematical Physics, 1966, 6:5, 1–50

Bibliographic databases:

UDC: 519.3
Received: 24.09.1965

Citation: E. S. Levitin, B. T. Polyak, “Constrained minimization methods”, Zh. Vychisl. Mat. Mat. Fiz., 6:5 (1966), 787–823; U.S.S.R. Comput. Math. Math. Phys., 6:5 (1966), 1–50

Citation in format AMSBIB
\by E.~S.~Levitin, B.~T.~Polyak
\paper Constrained minimization methods
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1966
\vol 6
\issue 5
\pages 787--823
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1966
\vol 6
\issue 5
\pages 1--50

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. I. Lyubich, G. D. Maistrovskii, “The general theory of relaxation processes for convex functionals”, Russian Math. Surveys, 25:1 (1970), 57–117  mathnet  crossref  mathscinet  zmath
    2. V. F. Dem'yanov, V. N. Malozemov, “On the theory of non-linear minimax problems”, Russian Math. Surveys, 26:3 (1971), 57–115  mathnet  crossref  mathscinet  zmath
    3. Yu. G. Evtushenko, V. G. Zhadan, “Barrier-projective methods for nonlinear programming”, Comput. Math. Math. Phys., 34:5 (1994), 579–590  mathnet  mathscinet  zmath  isi
    4. B. T. Polyak, “Local programming”, Comput. Math. Math. Phys., 41:9 (2001), 1259–1266  mathnet  mathscinet  zmath  elib
    5. J. Math. Sci. (N. Y.), 133:4 (2006), 1513–1523  mathnet  crossref  mathscinet  zmath  elib
    6. O. V. Khamisov, “Global optimization of functions with concave support minorant”, Comput. Math. Math. Phys., 44:9 (2004), 1473–1483  mathnet  mathscinet  zmath
    7. Gorbunov V.K., Lutoshkin I.V., “Development and experience of using the parameterization method in singular problems of dynamic optimization”, Journal of Computer and Systems Sciences International, 43:5 (2004), 725–742  isi
    8. I. Ya. Zabotin, R. S. Yarullin, “One approach to constructing cutting algorithms with dropping of cutting planes”, Russian Math. (Iz. VUZ), 57:3 (2013), 60–64  mathnet  crossref
    9. Ceng L.C. Chou C.Y., “On the Relaxed Hybrid-Extragradient Method for Solving Constrained Convex Minimization Problems in Hilbert Spaces”, Taiwan. J. Math., 17:3 (2013), 911–936  crossref  mathscinet  zmath  isi  elib
    10. Tian M., Huang L.-H., “Iterative Methods for Constrained Convex Minimization Problem in Hilbert Spaces”, Fixed Point Theory Appl., 2013, 105  crossref  mathscinet  isi
    11. I. Ya. Zabotin, R. S. Yarullin, “Metod otsechenii s obnovleniem pogruzhayuschikh mnozhestv i otsenki tochnosti resheniya”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 155, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2013, 54–64  mathnet
    12. G. E. Ivanov, M. S. Lopushanski, “Well-posedness of approximation and optimization problems for weakly convex sets and functions”, J. Math. Sci., 209:1 (2015), 66–87  mathnet  crossref  mathscinet
    13. I. Ya. Zabotin, R. S. Yarullin, “Algoritm otsechenii s approksimatsiei nadgrafika”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 155, no. 4, Izd-vo Kazanskogo un-ta, Kazan, 2013, 48–54  mathnet
    14. I. Ya. Zabotin, R. S. Yarullin, “Metod otsechenii s obnovleniem approksimiruyuschikh mnozhestv i ego kombinirovanie s drugimi algoritmami”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 10 (2014), 13–26  mathnet
    15. I. V. Konnov, “A method of bi-coordinate variations with tolerances and its convergence”, Russian Math. (Iz. VUZ), 60:1 (2016), 68–72  mathnet  crossref  isi
    16. I. V. Konnov, “Conditioned gradient method without line-search”, Russian Math. (Iz. VUZ), 62:1 (2018), 82–85  mathnet  crossref  isi
    17. M. V. Balashov, “The gradient projection algorithm for a proximally smooth set and a function with Lipschitz continuous gradient”, Sb. Math., 211:4 (2020), 481–504  mathnet  crossref  crossref  mathscinet  isi  elib
    18. M. V. Balashov, “On the Gradient Projection Method for Weakly Convex Functions on a Proximally Smooth Set”, Math. Notes, 108:5 (2020), 643–651  mathnet  crossref  crossref  mathscinet  isi  elib
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